Determine whether the number is divisible by 3. Give a reason based on the tests for divisibility.

75

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The number is divisible by 3.

Why?

Add the digits in a number together, continuing onwards until you get a 1 digit number. If this number is a multiple of 3 (3, 6, or 9), it means the original number is as well.

Try it with this number.

7 + 5 = 12

1 + 2 = 3

3 is a multiple of 3 (3*1), so 75 is divisible by 3.

Check:

75/3 = 25

25*3 = 75